afbrown4 afbrown4
  • 21-03-2022
  • Mathematics
contestada

Select the point on the number line that best approximates the location of √14

Select the point on the number line that best approximates the location of 14 class=

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maxzliu2011 maxzliu2011
  • 21-03-2022

Answer:

between 3 and 4 around 3[tex]\frac{3\\}{4}[/tex]

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GeorgePP
GeorgePP GeorgePP
  • 21-03-2022

Answer: 3.5

Step-by-step explanation:

You want to choose two numbers that have perfect roots. One above 14, and one below 14. The nearest two perfect roots to 14 is 9 and 16. We have the following inequality:

[tex]\sqrt{9} < \sqrt{14} < \sqrt{16}[/tex]

[tex]3 < \sqrt{14} < 4[/tex]

This means the square root of 14 is somewhere between 3 and 4. A good estimate would be 3.5

Answer Link

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